To multiply the numbers \(3 \times 10^7\) and \(9 \times 10^8\), you can follow these steps:
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Multiply the coefficients (the numbers in front): \[ 3 \times 9 = 27 \]
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Multiply the powers of ten by adding the exponents: \[ 10^7 \times 10^8 = 10^{7 + 8} = 10^{15} \]
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Combine the results: \[ 27 \times 10^{15} \]
So, the final result is: \[ 27 \times 10^{15} \]
Alternatively, you can express \(27 \times 10^{15}\) in scientific notation as: \[ 2.7 \times 10^{16} \]
Both forms, \(27 \times 10^{15}\) and \(2.7 \times 10^{16}\), are correct.
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